Solving multi-step problems using non-linear equations in one variable

Solve the equation.

• A
• B
• C
• D

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CCSS.HSA.REI.A.2

• -3, 5

• ∅

• 5

• -5, 3

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CCSS.MATH.CONTENT.HSA.CED.A.2

 $19=\sqrt{r}+9$  

• r=-100

• r=-5

• r=-6

• r=100

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CCSS.HSA.REI.A.2

 $x-3=\sqrt{-2x+41}$  
What is the extraneous solution?

• 8

• 4

• -4

• -8

• none

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CCSS.HSA.REI.A.2

Why do we need to check for extraneous solutions?

• They make the equation untrue.

• They make you have an imaginary number.

• They make you get a negative square root.

• I don't know, Ms. Jordan.

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CCSS.HSA.REI.A.2

Solve the radical equation and check for extraneous solutions:

• A
• B
• C
• D

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CCSS.HSA.REI.A.2

Which is the solution to (√4r)+7=3?

• -4
• 2
• 4
• No Solution

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CCSS.HSA.REI.A.2

Solve and check your solution(s).

• x = -2
• x = -2, 3
• x = -2, -3
• x = -3

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CCSS.HSA.REI.A.2

Solve

• -9
• -2,3
• 5
• 0

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CCSS.HSA.REI.A.2

Solve

 $\sqrt{3n+12}=\sqrt{n+8}$  

• -2

• 2

• no solution

• -4

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CCSS.HSA.REI.A.2